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Finding the Fourth Proportional to 708,804.51, 978,114.70 and 402,840.46

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Solution

The fourth proportional to 708,804.51, 978,114.70 and 402,840.46 is: 555,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,804.51 : 978,114.70 = 402,840.46 : x
  2. Step 2: Convert to fraction form
    708,804.51/978,114.70 = 402,840.46/x
  3. Step 3: Cross multiply
    708,804.51x = 978,114.70 × 402,840.46
  4. Step 4: Simplify right side
    708,804.51x = 394,024,175,680.76
  5. Step 5: Solve for x
    x = 394,024,175,680.76/708,804.51
  6. Step 6: Final answer
    x = 555,899.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.